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Discontinuous Groups in the Plane

  • Bernard Maskit
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 287)

Abstract

The chapter starts with a discussion of abstract discontinuous groups, but is primarily concerned with discontinuous groups of fractional linear transformations acting on the extended complex plane. We discuss some inequalities, including Jørgensen’s inequality, the limit set, and fundamental domains, in particular, the Ford region. The point of view here is primarily one complex dimensional; real higher dimensional discontinuous groups will be discussed in Chapter IV.

Keywords

Riemann Surface Limit Point Distinct Element Fundamental Domain Kleinian Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • Bernard Maskit
    • 1
  1. 1.Dept. of MathematicsSUNY at Stony BrookStony BrookUSA

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